Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions. Page: iii
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D. Hydrogen Atom Energy Levels.......................................................................29
V. UNBOUND SYSTEMS IN ONE DIMENSION.................................................31
A. Changes to the One-Dimensional Code...........................................................32
B. Tunneling Through a Barrier............... ................................... ....................32
VI. A SIMPLE TWO-DIMENSIONAL FINITE ELEMENT METHOD .....................34
A. The Two-Dimensional Technique ................................................................... 35
B. Two-Dimensional Applications.......................................................................40
1. Isotropic harm onic oscillator .......................................................................40
2. Propagation of sound in a rectangular cavity ...............................................42
VII. CON CLUSION ..............................................................................................45
APPENDIX ........................................................................................46
DATA INPUT INSTRUCTIONS AND LISTINGS FOR TISEFEA AND
FEM 2D LIN EA R ................................................................................... .................. 46
A. Data Input Instructions for TISEFEA .............................................................. 47
B. TISEFEA Code Listing ...................................................................................49
C. FEM 2DLinear Code Listing............................................................................68
R E F E R E N C E S ..............................................................................................................8 3
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Hunnell, Jason C. Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions., thesis, May 2002; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc3087/m1/4/?q=%22quantum%20mechanical%22: accessed May 6, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .